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Finding the Fourth Proportional to 103,010.78, 154,540.12 and 31,929.64

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Solution

The fourth proportional to 103,010.78, 154,540.12 and 31,929.64 is: 47,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,010.78 : 154,540.12 = 31,929.64 : x
  2. Step 2: Convert to fraction form
    103,010.78/154,540.12 = 31,929.64/x
  3. Step 3: Cross multiply
    103,010.78x = 154,540.12 × 31,929.64
  4. Step 4: Simplify right side
    103,010.78x = 4,934,410,397.16
  5. Step 5: Solve for x
    x = 4,934,410,397.16/103,010.78
  6. Step 6: Final answer
    x = 47,901.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.